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5495760 = 2432517449
BaseRepresentation
bin10100111101101111010000
3101100012202200
4110331233100
52401331020
6313443200
764466424
oct24755720
911305680
105495760
113114056
121a10500
1311a563a
14a30b84
15738590
hex53dbd0

5495760 has 120 divisors (see below), whose sum is σ = 19585800. Its totient is φ = 1376256.

The previous prime is 5495759. The next prime is 5495767. The reversal of 5495760 is 675945.

5495760 = T178 + T179 + ... + T337.

5495760 is a `hidden beast` number, since 549 + 57 + 60 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 1382976 + 4112784 = 1176^2 + 2028^2 .

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5495767) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 12016 + ... + 12464.

It is an arithmetic number, because the mean of its divisors is an integer number (163215).

Almost surely, 25495760 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5495760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9792900).

5495760 is an abundant number, since it is smaller than the sum of its proper divisors (14090040).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

5495760 is a wasteful number, since it uses less digits than its factorization.

5495760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 485 (or 476 counting only the distinct ones).

The product of its (nonzero) digits is 37800, while the sum is 36.

The square root of 5495760 is about 2344.3037345873. The cubic root of 5495760 is about 176.4720454782.

The spelling of 5495760 in words is "five million, four hundred ninety-five thousand, seven hundred sixty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 17 18 20 24 30 34 36 40 45 48 51 60 68 72 80 85 90 102 120 136 144 153 170 180 204 240 255 272 306 340 360 408 449 510 612 680 720 765 816 898 1020 1224 1347 1360 1530 1796 2040 2245 2448 2694 3060 3592 4041 4080 4490 5388 6120 6735 7184 7633 8082 8980 10776 12240 13470 15266 16164 17960 20205 21552 22899 26940 30532 32328 35920 38165 40410 45798 53880 61064 64656 68697 76330 80820 91596 107760 114495 122128 137394 152660 161640 183192 228990 274788 305320 323280 343485 366384 457980 549576 610640 686970 915960 1099152 1373940 1831920 2747880 5495760